A stock investment went up 25% in 2006. Starting at this increased value, what percent would it have to go down in 2007 to be back to its original price at the beginning of 2006?
It would have to go down 20%
It would become 125%. 25/125=.2, which is 20%
Let the value of the investment at the start = A
At the end of 2006 the value is 1.25A
So....we need to solve this
(1.25)A * x = A divide both sides by A
1.25 x = 1 divide both sides by 1.25
x = 1 / 1.25 = 4/5
So x = 4/5 = .80
Then the investment's value at the end of 2007 needs to be 80% of its value at the end of 2006
So......it would need to lose 20% of its value